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44083468248 = 2334362576827
BaseRepresentation
bin101001000011100101…
…000101011111011000
311012210020211012212020
4221003211011133120
51210240331440443
632130205414440
73120300204021
oct510345053730
9135706735766
1044083468248
1117771a72196
12866356a420
134207079b71
1421c2a4bc48
151230248583
hexa439457d8

44083468248 has 64 divisors (see below), whose sum is σ = 112806207360. Its totient is φ = 14348361216.

The previous prime is 44083468243. The next prime is 44083468267. The reversal of 44083468248 is 84286438044.

It is a self number, because there is not a number n which added to its sum of digits gives 44083468248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44083468243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6453811 + ... + 6460637.

It is an arithmetic number, because the mean of its divisors is an integer number (1762596990).

Almost surely, 244083468248 is an apocalyptic number.

It is an amenable number.

44083468248 is an abundant number, since it is smaller than the sum of its proper divisors (68722739112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44083468248 is a wasteful number, since it uses less digits than its factorization.

44083468248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 51.

The spelling of 44083468248 in words is "forty-four billion, eighty-three million, four hundred sixty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 6257 6827 12514 13654 18771 20481 25028 27308 37542 40962 50056 54616 75084 81924 150168 163848 269051 293561 538102 587122 807153 880683 1076204 1174244 1614306 1761366 2152408 2348488 3228612 3522732 6457224 7045464 42716539 85433078 128149617 170866156 256299234 341732312 512598468 1025196936 1836811177 3673622354 5510433531 7347244708 11020867062 14694489416 22041734124 44083468248